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Simplifying -3x + 44 = 5(4x + 1) + -7 Reorder the terms: 44 + -3x = 5(4x + 1) + -7 Reorder the terms: 44 + -3x = 5(1 + 4x) + -7 44 + -3x = (1 * 5 + 4x * 5) + -7 44 + -3x = (5 + 20x) + -7 Reorder the terms: 44 + -3x = 5 + -7 + 20x Combine like terms: 5 + -7 = -2 44 + -3x = -2 + 20x Solving 44 + -3x = -2 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 44 + -3x + -20x = -2 + 20x + -20x Combine like terms: -3x + -20x = -23x 44 + -23x = -2 + 20x + -20x Combine like terms: 20x + -20x = 0 44 + -23x = -2 + 0 44 + -23x = -2 Add '-44' to each side of the equation. 44 + -44 + -23x = -2 + -44 Combine like terms: 44 + -44 = 0 0 + -23x = -2 + -44 -23x = -2 + -44 Combine like terms: -2 + -44 = -46 -23x = -46 Divide each side by '-23'. x = 2 Simplifying x = 2
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